phenomenon 99.3 Electron–positron pair creation

open in the book · parts/11-qft-standard-model/01-canonical-quantization.tex:208 · p. 1857

phenomenon-tested: no experiment declares a \tests edge to it and it is not listed in untested.txt

Rests on

depends_on definition 40.4 Four-momentum ¶
- depends_on definition 40.2 Four-velocity ¶
  - depends_on definition 38.12 Proper time ¶
    - depends_on definition 38.6 Minkowski metric and interval ¶
      - depends_on proposition 38.5 The invariant interval ¶
    - depends_on proposition 38.5 The invariant interval ¶ ↺
  - depends_on definition 40.1 Four-vector ¶
    - depends_on definition 38.6 Minkowski metric and interval ¶ ↺
    - depends_on equation 38.14 eq:lor-invariance-condition ¶
depends_on theorem 40.5 Energy–momentum relation ¶
- depends_on definition 40.4 Four-momentum ¶ ↺
- depends_on proposition 40.3 Normalization of the four-velocity ¶
  - depends_on definition 38.6 Minkowski metric and interval ¶ ↺
  - depends_on equation 40.2 eq:rdyn-fourvelocity ¶
  - proves proof ch:04-relativistic-dynamics@proof-1 ¶
- proves proof ch:04-relativistic-dynamics@proof-2 ¶
proves proof ch:01-canonical-quantization@proof-1 ¶

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type	direction	node	provenance	where
`cites`	→	The Positive Electron	derived	parts/11-qft-standard-model/01-canonical-quantization.tex:221
`depends_on`	→	Four-momentum	declared	parts/11-qft-standard-model/01-canonical-quantization.tex:222
`depends_on`	→	Energy–momentum relation	declared	parts/11-qft-standard-model/01-canonical-quantization.tex:222
`proves`	←	ch:01-canonical-quantization@proof-1	declared	parts/11-qft-standard-model/01-canonical-quantization.tex:225